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Simplifying -1(x + 4)(x + 1) + 1 = -1(x + 6)(x + 4) Reorder the terms: -1(4 + x)(x + 1) + 1 = -1(x + 6)(x + 4) Reorder the terms: -1(4 + x)(1 + x) + 1 = -1(x + 6)(x + 4) Multiply (4 + x) * (1 + x) -1(4(1 + x) + x(1 + x)) + 1 = -1(x + 6)(x + 4) -1((1 * 4 + x * 4) + x(1 + x)) + 1 = -1(x + 6)(x + 4) -1((4 + 4x) + x(1 + x)) + 1 = -1(x + 6)(x + 4) -1(4 + 4x + (1 * x + x * x)) + 1 = -1(x + 6)(x + 4) -1(4 + 4x + (1x + x2)) + 1 = -1(x + 6)(x + 4) Combine like terms: 4x + 1x = 5x -1(4 + 5x + x2) + 1 = -1(x + 6)(x + 4) (4 * -1 + 5x * -1 + x2 * -1) + 1 = -1(x + 6)(x + 4) (-4 + -5x + -1x2) + 1 = -1(x + 6)(x + 4) Reorder the terms: -4 + 1 + -5x + -1x2 = -1(x + 6)(x + 4) Combine like terms: -4 + 1 = -3 -3 + -5x + -1x2 = -1(x + 6)(x + 4) Reorder the terms: -3 + -5x + -1x2 = -1(6 + x)(x + 4) Reorder the terms: -3 + -5x + -1x2 = -1(6 + x)(4 + x) Multiply (6 + x) * (4 + x) -3 + -5x + -1x2 = -1(6(4 + x) + x(4 + x)) -3 + -5x + -1x2 = -1((4 * 6 + x * 6) + x(4 + x)) -3 + -5x + -1x2 = -1((24 + 6x) + x(4 + x)) -3 + -5x + -1x2 = -1(24 + 6x + (4 * x + x * x)) -3 + -5x + -1x2 = -1(24 + 6x + (4x + x2)) Combine like terms: 6x + 4x = 10x -3 + -5x + -1x2 = -1(24 + 10x + x2) -3 + -5x + -1x2 = (24 * -1 + 10x * -1 + x2 * -1) -3 + -5x + -1x2 = (-24 + -10x + -1x2) Add 'x2' to each side of the equation. -3 + -5x + -1x2 + x2 = -24 + -10x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -5x + 0 = -24 + -10x + -1x2 + x2 -3 + -5x = -24 + -10x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -5x = -24 + -10x + 0 -3 + -5x = -24 + -10x Solving -3 + -5x = -24 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -3 + -5x + 10x = -24 + -10x + 10x Combine like terms: -5x + 10x = 5x -3 + 5x = -24 + -10x + 10x Combine like terms: -10x + 10x = 0 -3 + 5x = -24 + 0 -3 + 5x = -24 Add '3' to each side of the equation. -3 + 3 + 5x = -24 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -24 + 3 5x = -24 + 3 Combine like terms: -24 + 3 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2
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